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A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals
A new dislocation density based constitutive model for fcc single crystals at elevated temperatures is developed. In addition to former composite models [Acta Mater 48 (2000) 4181; J Mater Proc Technol 123 (2002) 155; Acta Metall Mater 41 (1993) 589; Acta Metal 31 (1983) 1367] it distinguishes the individual slip systems and thus directly accounts for latent hardening. This distinction is an essential prerequisite for a later implementation into crystal plasticity finite element models. The model is applied to hot compression tests of aluminium single crystals with their h110i axis parallel to the compression axis. The predicted stress strain curves fit the experimental observations very well for a strain rate range from 1 x 10^{-5} to 1 x 10^{-1} s^{-1} and a temperature range from 623 to 723 K using a single set of parameters.